Leerstof onder andere voor[br][math]\oplus[/math]ingangsexamen geneeskunde

[math]\begin{tabular}{l|l}[br]\int 0 dx=c&\int\frac{1}{k+x^2}dx=\frac{1}{\sqrt{k}}Arctan\left(\frac{x}{\sqrt{k}}\right)+c\;\;(k>0)\\[br]\int 1 dx=x+c&\int\frac{1}{\sqrt{k-x^2}}dx=Arcsin\left(\frac{x}{\sqrt{k}}\right)+c\;\;(k>0)\\[br]\int x^n dx=\frac{x^{n+1}}{n+1}+c\;(n\in\mathbb{R}\backslash\{-1\})&\\[br]\int\frac{1}{x}dx=ln|x|+c&\\[br]\int e^x dx=e^x +c&\\[br]\int a^x dx = \frac{a^x}{\ln a}+c&\\[br]\int\cos x dx=\sin x+c&\\[br]\int\sin x dx=-\cos x+c&\\[br]\int\frac{1}{\cos^2x}dx=\tan x+c&\\[br]\int\frac{1}{\sin^2x}dx=-\cot x+c&\\[br]\int\frac{1}{\sqrt{1-x^2}}dx=Arcsinx+c=-Arccosx+c&\\[br]\int\frac{1}{1+x^2}dx=Arctan x+c&[br]\end{tabular}[/math]

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[size=150]Integratie door splitsing:[br][/size][math]\int k\cdot f(x)+l\cdot g(x)dx=k\int f(x)dx+l\int g(x)dx[/math]